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Finding the Fourth Proportional to 292.39, 440.59 and 242.16

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Solution

The fourth proportional to 292.39, 440.59 and 242.16 is: 364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.39 : 440.59 = 242.16 : x
  2. Step 2: Convert to fraction form
    292.39/440.59 = 242.16/x
  3. Step 3: Cross multiply
    292.39x = 440.59 × 242.16
  4. Step 4: Simplify right side
    292.39x = 106,693.58
  5. Step 5: Solve for x
    x = 106,693.58/292.39
  6. Step 6: Final answer
    x = 364.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.